Search a number
-
+
411053234256 = 24327407790907
BaseRepresentation
bin1011111101101001010…
…11101001100001010000
31110022000000011211220100
411332310223221201100
523213314111444011
6512500225212400
741461165561530
oct5766453514120
91408000154810
10411053234256
1114936591a945
12677b8a91100
132c9ba5b4242
1415c7616d4c0
15aa5bea0d56
hex5fb4ae9850

411053234256 has 60 divisors (see below), whose sum is σ = 1314717887392. Its totient is φ = 117443780928.

The previous prime is 411053234203. The next prime is 411053234257. The reversal of 411053234256 is 652432350114.

411053234256 is a `hidden beast` number, since 4 + 110 + 532 + 3 + 4 + 2 + 5 + 6 = 666.

It is a super-2 number, since 2×4110532342562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 411053234256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411053234257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203894446 + ... + 203896461.

Almost surely, 2411053234256 is an apocalyptic number.

It is an amenable number.

411053234256 is an abundant number, since it is smaller than the sum of its proper divisors (903664653136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

411053234256 is a wasteful number, since it uses less digits than its factorization.

411053234256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407790928 (or 407790919 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 411053234256 in words is "four hundred eleven billion, fifty-three million, two hundred thirty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 407790907 815581814 1223372721 1631163628 2446745442 2854536349 3262327256 3670118163 4893490884 5709072698 6524654512 7340236326 8563609047 9786981768 11418145396 14680472652 17127218094 19573963536 22836290792 25690827141 29360945304 34254436188 45672581584 51381654282 58721890608 68508872376 102763308564 137017744752 205526617128 411053234256